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LCM of 803, 449, 715, 208

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 803, 449, 715, 208 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 803, 449, 715, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,449,715,208

Given numbers are 803,449,715,208

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 803,449,715,208 is 374968880.

Find LCM of 803,449,715,208 with Prime Factorization


11 803, 449, 715, 208
13 73, 449, 65, 208
73, 449, 5, 16

Multiply the prime numbers at the bottom and the left side.

11 x 13 x 73 x 449 x 5 x 16 = 374968880

Therefore, the lowest common multiple of 803,449,715,208 is 374968880.

LCM Formula to Find Lowest Common Multiple of 803,449,715,208

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

803 x 449 x 715 x 208 = 53620549840

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

803 : 1, 11, 73, 803

449 : 1, 449

715 : 1, 5, 11, 13, 55, 65, 143, 715

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,449,715,208, is 1.

Now, the common factors can be found like this.

803:11x 73

449:449

715:5x 11x 13

208:2x 2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 13 = 143

Therefore, the value for common factors is 143.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 53620549840/(1x143)

LCM = 53620549840/143

LCM = 374968880

Thus, we can understand that the LCM of 803,449,715,208 is 374968880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 449, 715, 208

1. What is the LCM of 803, 449, 715, 208?

Answer: LCM of 803, 449, 715, 208 is 374968880.

2. How to calculate the LCM of 803, 449, 715, 208?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 803, 449, 715, 208.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.